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arXiv · 2501.04351

Approximate identity and approximation properties of multidimensional Fourier algebras

Kanupriya·N. Shravan Kumar
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Abstract

For a locally compact group $G$, let $A^n(G)$ denote the multidimensional Fourier algebra given by $ \otimes_{n}^{eh} A(G).$ This work explores the approximation identity and operator amenability of the algebra $A^n(G)$. Further, we study the approximation properties (AP) and the concept of weak amenability of the multidimensional Fourier algebra.

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Kanupriya, N. Shravan Kumar. 2025-01-08. Approximate identity and approximation properties of multidimensional Fourier algebras. https://arxiv.org/abs/2501.04351

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